Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 15 - Differentiation in Several Variables - 15.2 Limits and Continuity in Several Variables - Exercises - Page 772: 10



Work Step by Step

We are given $ \lim\limits_{(x,y) \to (2,5)}f(x,y)=3$ and $ \lim\limits_{(x,y) \to (2,5)}g(x,y)=7$, then we have $$ \lim\limits_{(x,y) \to (2,5)}(f(x,y)^2g(x,y))=\lim\limits_{(x,y) \to (2,5)}f(x,y)^2\lim\limits_{(x,y) \to (2,5)}g(x,y)\\=3^2\times7=9\times7=63$$
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